曲面半流与 Anosov 流的拉伸指数混合
Stretched-exponential mixing for surface semiflows and Anosov flows
AI总结：
本文证明曲面悬挂半流在屋顶函数 Lipschitz 且非局部常上同调时关于 SRB 测度拉伸指数混合，并推广至双曲斜积、吸引子及余维一拓扑混合 Anosov 流。
摘要：
对于作为 \(C^{1+α}\) 扩张 Markov 区间映射的悬挂的曲面半流，我们证明：在屋顶函数 Lipschitz 连续且不与局部常函数上同调的假设下，该半流关于 SRB 测度呈现拉伸指数混合。此结果推广到双曲斜积半流和双曲吸引子。具体而言，具有 Lipschitz 连续稳定叶层的余维一拓扑混合 Anosov 流关于其 SRB 测度表现出拉伸指数混合。
英文摘要：
For a surface semiflow that is a suspension of a \( C^{1+α} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous and not cohomologous to a locally constant function, the semiflow exhibits stretched-exponential mixing with respect to the SRB measure. This result extends to hyperbolic skew-product semiflows and hyperbolic attractors. Specifically, codimension-one topologically mixing Anosov flows with Lipschitz continuous stable foliations demonstrate stretched-exponential mixing with respect to their SRB measures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
